About to replace home cinema/amplifier but keeping current speakers.

from the manual:

My speakers are rated: 5x15, but the new amp rated is 5x70W.

So:
1, do I have to run the test?
2, could it damage my speakers.

If it is anything like my Onkyo the test tones are not run at full volume. So chances are they will run at single figure wattage. Then you have to factor in how the power figure is described. If both are RMS then they are directly comparable. However if the 15W is RMS and the 70 one of these fantasy "music power" things then who knows what the real power output of the amp is.

So there is a chance the test won't cause the speakers any grief.

All the systems I've seen do tests at various powers, all of them pretty low, there's no need or reason to use high power for the test.

Thank you for the replies.

My Denon amp is the same (5 x 170W/channel). If you were to put 15W into my relatively inefficient KEF speakers it would be very loud. At a guess the test tones are only a few watts as they aren't very loud at all. As the amp makers have no idea what speakers are going to used they aren't going to use a high power test tone (If you overdrive speakers you get horrendous distortion which wouldn't be a good idea for a auto setup anyway). I can imagine the claim your amp setup blew up my speakers